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Finding the Fourth Proportional to 260, 389.36 and 202.10

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Solution

The fourth proportional to 260, 389.36 and 202.10 is: 302.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    260 : 389.36 = 202.10 : x
  2. Step 2: Convert to fraction form
    260/389.36 = 202.10/x
  3. Step 3: Cross multiply
    260x = 389.36 × 202.10
  4. Step 4: Simplify right side
    260x = 78,689.66
  5. Step 5: Solve for x
    x = 78,689.66/260
  6. Step 6: Final answer
    x = 302.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.